89422080 has 288 divisors, whose sum is σ = 326712960. Its totient is φ = 20643840.

The previous prime is 89422079. The next prime is 89422129. The reversal of 89422080 is 8022498.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224924 + ... + 1224996.

It is an arithmetic number, because the mean of its divisors is an integer number (1134420).

Almost surely, 2^89422080 is an apocalyptic number.

89422080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163356480).

89422080 is an abundant number, since it is smaller than the sum of its proper divisors (237290880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89422080 is a wasteful number, since it uses less digits than its factorization.

89422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 89422080 is about 9456.3248675159. The cubic root of 89422080 is about 447.1791943538.

The spelling of 89422080 in words is "eighty-nine million, four hundred twenty-two thousand, eighty".